Lesson 8
More about Constant Speed
Problem 1
A kangaroo hops 2 kilometers in 3 minutes. At this rate:
- How long does it take the kangaroo to travel 5 kilometers?
- How far does the kangaroo travel in 2 minutes?
Solution
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Problem 2
Mai runs around a 400-meter track at a constant speed of 250 meters per minute. How many minutes does it take Mai to complete 4 laps of the track? Explain or show your reasoning.
Solution
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Problem 3
At 10:00 a.m., Han and Tyler both started running toward each other from opposite ends of a 10-mile path along a river. Han runs at a pace of 12 minutes per mile. Tyler runs at a pace of 15 minutes per mile.
- How far does Han run after a half hour? After an hour?
- Do Han and Tyler meet on the path within 1 hour? Explain or show your reasoning.
Solution
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Problem 4
Two skateboarders start a race at the same time. Skateboarder A travels at a steady rate of 15 feet per second. Skateboarder B travels at a steady rate of 22 feet per second. After 4 minutes, how much farther will Skateboarder B have traveled? Explain your reasoning.
Solution
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(From Unit 2, Lesson 16.)Problem 5
There are 4 tablespoons in \(\frac14\) cup. There are 2 cups in 1 pint. How many tablespoons are there in 1 pint? If you get stuck, consider drawing a double number line or making a table.
Solution
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(From Unit 3, Lesson 4.)Problem 6
Two larger cubes are made out of unit cubes. Cube A is 2 by 2 by 2. Cube B is 4 by 4 by 4. The side length of Cube B is twice that of Cube A.
- Is the surface area of Cube B also twice that of Cube A? Explain or show your reasoning.
- Is the volume of Cube B also twice that of Cube A? Explain or show your reasoning.
![Two larger cubes are made out of unit cubes. Cube A is 2 unit cubes wide, 2 unit cubes tall, and 2 unit cubes deep. Cube B is 4 unit cubes wide, 4 unit cubes tall, and 2 unit cubes deep.](https://cms-im.s3.amazonaws.com/GmaMFiZhWRzd8CAzz3dZN62d?response-content-disposition=inline%3B%20filename%3D%226-6.1.E.PP.New.Image.03.png%22%3B%20filename%2A%3DUTF-8%27%276-6.1.E.PP.New.Image.03.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240630%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240630T172227Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=49506ffce1fcd394804a8f5c691362a18e14bc4de75938f585bd17d047873ded)
Solution
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(From Unit 1, Lesson 12.)